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Finding the Fourth Proportional to 447.82, 672.18 and 231.88

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Solution

The fourth proportional to 447.82, 672.18 and 231.88 is: 348.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    447.82 : 672.18 = 231.88 : x
  2. Step 2: Convert to fraction form
    447.82/672.18 = 231.88/x
  3. Step 3: Cross multiply
    447.82x = 672.18 × 231.88
  4. Step 4: Simplify right side
    447.82x = 155,865.10
  5. Step 5: Solve for x
    x = 155,865.10/447.82
  6. Step 6: Final answer
    x = 348.05

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.